213012002000 has 320 divisors, whose sum is σ = 621480936960. Its totient is φ = 68981760000.

The previous prime is 213012001997. The next prime is 213012002017. The reversal of 213012002000 is 200210312.

It is a happy number.

It is a super-2 number, since 2×213012002000² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 106665002 + ... + 106666998.

It is an arithmetic number, because the mean of its divisors is an integer number (1942127928).

Almost surely, 2^213012002000 is an apocalyptic number.

213012002000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 213012002000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (310740468480).

213012002000 is an abundant number, since it is smaller than the sum of its proper divisors (408468934960).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

213012002000 is a wasteful number, since it uses less digits than its factorization.

213012002000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2447 (or 2431 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 11.

Adding to 213012002000 its reverse (200210312), we get a palindrome (213212212312).

The spelling of 213012002000 in words is "two hundred thirteen billion, twelve million, two thousand".